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5409746496 = 2632711283431
BaseRepresentation
bin1010000100111001…
…00010111001000000
3111222000101121002100
411002130202321000
542034343341441
62252445350400
7251026041450
oct50234427100
914860347070
105409746496
11232672a680
12106b868400
13682a0353b
14394681d60
15219de2cb6
hex142722e40

5409746496 has 336 divisors, whose sum is σ = 19445557248. Its totient is φ = 1396915200.

The previous prime is 5409746491. The next prime is 5409746497. The reversal of 5409746496 is 6946479045.

It is a happy number.

5409746496 is a `hidden beast` number, since 5 + 4 + 0 + 97 + 464 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (5409746491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12551401 + ... + 12551831.

Almost surely, 25409746496 is an apocalyptic number.

5409746496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5409746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722778624).

5409746496 is an abundant number, since it is smaller than the sum of its proper divisors (14035810752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5409746496 is a wasteful number, since it uses less digits than its factorization.

5409746496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 5409746496 is about 73550.9788921942. The cubic root of 5409746496 is about 1755.4655243497.

The spelling of 5409746496 in words is "five billion, four hundred nine million, seven hundred forty-six thousand, four hundred ninety-six".